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New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Giulio Magli

Einstein's equations are known to lead to the formation of black holes and spacetime singularities. This appears to be a manifestation of the mathematical phenomenon of finite-time blowup: a formation of singularities from regular initial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Amos Ori , Dan Gorbonos

In this paper, we study charged black hole solutions in 4-dimensional Einstein-Gauss-Bonnet gravity combined with ModMax nonlinear electrodynamics. This is a conformally invariant extension of Maxwell theory that effectively describes…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Bilel Hamil

The Arnowitt-Deser-Misner formalism is used to derive variations of mass, angular momentum and canonical energy for Einstein-Maxwell {\it dark matter} gravity in which the auxiliary gauge field coupled via kinetic mixing term to the…

High Energy Physics - Theory · Physics 2020-10-28 Marek Rogatko

The Bronnikov model of nonlinear electrodynamics is investigated in general relativity. The magnetic black hole is considered and we obtain a solution giving corrections to the Reissner-Nordstr\"{o}m solution. In this model spacetime at…

General Relativity and Quantum Cosmology · Physics 2018-05-24 S. I. Kruglov

It is shown that anisotropic matter black holes with two parameters $w$ and $K$ correspond to nonlinear electrodynamics (NED) black holes with power-index $s$ and charge term $\xi(s,q)$ by introducing a NED term. These NED black holes…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Yun Soo Myung , Wonwoo Lee

The main objective of this work is the construction of regular black hole solutions in the context of the Einstein-Maxwell theory. The strategy is to match an interior regular solution to an exterior electrovacuum solution. With this…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

We compute the spectrum of quasinormal frequencies of regular black holes obtained in the presence of Non-Linear Electrodynamics. In particular, we perturb the black hole with a minimally coupled massive scalar field, and we study the…

General Relativity and Quantum Cosmology · Physics 2019-05-24 Grigoris Panotopoulos , Ángel Rincón

The paper analyzes the thermodynamic properties of a special state of charged black holes, in which the event horizon becomes point-like and coincides with the singularity. It is shown that for such states, called black points, in contrast…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Vladimir Sokolov

Considering a generalised action for Einstein Maxwell theory in four dimensions coupled to scalar and pseudo-scalar fields, the thermodynamic properties of asymptotically flat black holes solutions in such a background are investigated.…

High Energy Physics - Theory · Physics 2008-12-30 Tanwi Ghosh , Soumitra SenGupta

The Einstein-Maxwell theory has black hole solutions with electric and magnetic charges. In the standard model for particle physics, dyons with electric and magnetic charges would have been formed in the early universe. We derive the…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Lang Liu , Sang Pyo Kim

We revisit the non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution obtained by smearing the point sources with a Gaussian distribution. We show that while the form of the metric function and the physical properties…

General Relativity and Quantum Cosmology · Physics 2025-07-29 Gokhan Alkac , Murat Mesta , Gonul Unal

In this work, we study the possibility of generalizing solutions of regular black holes with an electric charge, constructed in general relativity, for the $f(G)$ theory, where $G$ is the Gauss-Bonnet invariant. This type of solution arises…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Marcos V. de S. Silva , Manuel E. Rodrigues

In this paper we have investigated the gravitational lensing phenomenon in the strong field regime for a regular, charged, static, non-linear black hole having a electrodynamics source. We have obtained the angle of deflection and compared…

General Relativity and Quantum Cosmology · Physics 2023-11-09 Tuhina Manna , Farook Rahaman , Sabiruddin Molla , Jhumpa Bhadra , Hasrat Hussain Shah

We study the geodesics of charged black holes in polynomial Maxwell Lagrangians, a subclass of models within the nonlinear electrodynamics (NLED). Specifically, we consider black holes in Kruglov, power-law, and Ayon-Beato-Garcia models.…

General Relativity and Quantum Cosmology · Physics 2020-07-08 A S. Habibina , H. S. Ramadhan

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

It has recently been proved that a third law of black hole mechanics does not hold for Einstein-Maxwell theory coupled to a massless charged scalar field: there exist solutions that describe gravitational collapse to form an exactly…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Harvey S. Reall

An exponential model of nonlinear electrodynamics coupled with the gravitational field is analyzed. It was shown that weak, dominant, and strong energy conditions are satisfied. We obtain corrections to Coulomb's law at…

General Physics · Physics 2016-11-10 S. I. Kruglov

A thermodynamic analysis of the black hole solutions coming from the Einstein-Maxwell-Dilaton theory (EMD) in 4D is done. By consider the canonical and grand-canonical ensemble, we apply standard method as well as a recent method known as…

General Relativity and Quantum Cosmology · Physics 2012-06-08 Manuel E. Rodrigues , Zui A. A. Oporto

This paper explores the properties of black holes using a new model of nonlinear electrodynamics called modified Maxwell (ModMax), in conjunction with nonlinear massive gravity known as dRGT-like massive gravity. We start by deriving the…

General Relativity and Quantum Cosmology · Physics 2025-07-11 B. Eslam Panah